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- W4298085198 abstract "We consider a cobordism category whose morphisms are punctured connect sums of $S^1 times S^2$'s (wormhole spaces) with embedded admissibly colored banded trivalent graphs. We define a TQFT on this cobordism category over the field of rational functions in an indeterminant $A.$ For $r$ large, we recover, by specializing $A$ to a primitive 4rth root of unity, the Witten-Reshetikhin-Turaev TQFT restricted to links in wormhole spaces. Thus, for $r$ large, the $r$th Witten-Reshetikhin-Turaev invariant of a link in some wormhole space, properly normalized, is the value of a certain rational function at $e^{frac{pi i}{2r}}.$ We relate our work to Hoste and Przytycki's calculation of the Kauffman bracket skein module of $S^1 times S^2.$" @default.
- W4298085198 created "2022-10-01" @default.
- W4298085198 creator A5058652097 @default.
- W4298085198 date "1995-07-19" @default.
- W4298085198 modified "2023-09-28" @default.
- W4298085198 title "A TQFT for Wormhole cobordisms over the field of rational functions" @default.
- W4298085198 doi "https://doi.org/10.48550/arxiv.q-alg/9507015" @default.
- W4298085198 hasPublicationYear "1995" @default.
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